In this paper the problem of the response evaluation of nonlinear systems under multiplicative impulsive input is treated. Such systems exhibit a jump at each impulse occurrence, whose value cannot be predicted through the classical differential calculus. In this context here the correct jump evaluation of nonlinear systems is obtained in closed form for two general classes of nonlinear multiplicative functions. Analysis has been performed to show the different typical behaviors of the response, which in some cases could diverge or converge to zero instantaneously, depending on the amplitude of the Dirac's delta.

DI MATTEO, A., DI PAOLA, M., Pirrotta, A. (2017). Direct evaluation of jumps for nonlinear systems under external and multiplicative impulses. JOURNAL OF VIBRATION AND CONTROL, 23(11), 1753-1767 [10.1177/1077546315600111].

Direct evaluation of jumps for nonlinear systems under external and multiplicative impulses

DI MATTEO, Alberto;DI PAOLA, Mario;PIRROTTA, Antonina
2017-01-01

Abstract

In this paper the problem of the response evaluation of nonlinear systems under multiplicative impulsive input is treated. Such systems exhibit a jump at each impulse occurrence, whose value cannot be predicted through the classical differential calculus. In this context here the correct jump evaluation of nonlinear systems is obtained in closed form for two general classes of nonlinear multiplicative functions. Analysis has been performed to show the different typical behaviors of the response, which in some cases could diverge or converge to zero instantaneously, depending on the amplitude of the Dirac's delta.
2017
Settore ICAR/08 - Scienza Delle Costruzioni
DI MATTEO, A., DI PAOLA, M., Pirrotta, A. (2017). Direct evaluation of jumps for nonlinear systems under external and multiplicative impulses. JOURNAL OF VIBRATION AND CONTROL, 23(11), 1753-1767 [10.1177/1077546315600111].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/243801
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